The numerical computation of freely propagating time-dependent irrotational water waves
- 31 December 2006
- journal article
- Published by IOP Publishing in Fluid Dynamics Research
- Vol. 38 (12) , 803-830
- https://doi.org/10.1016/j.fluiddyn.2005.08.007
Abstract
Methods for the numerical computation of freely propagating irrotational water waves are reviewed. The emphasis is on the methods, not on the results. The primary focus is on methods for time-dependent fully nonlinear water waves, but aspects of steady waves are also discussed. For time-dependent waves, a range of topics from two-dimensional time-periodic waves over a flat bottom to unsteady three-dimensional waves over an arbitrary topography, including the statistical description of water waves, are discussed.Keywords
This publication has 128 references indexed in Scilit:
- Nonlinear three-dimensional gravity–capillary solitary wavesJournal of Fluid Mechanics, 2005
- A numerical study of crescent wavesJournal of Fluid Mechanics, 2004
- Numerical solutions of fully non‐linear and highly dispersive Boussinesq equations in two horizontal dimensionsInternational Journal for Numerical Methods in Fluids, 2003
- Three-dimensional instability of standing wavesJournal of Fluid Mechanics, 2003
- Traveling gravity water waves in two and three dimensionsEuropean Journal of Mechanics - B/Fluids, 2002
- A fast method for fully nonlinear water-wave computationsJournal of Fluid Mechanics, 2001
- Verification of Hasselmann's energy transfer among surface gravity waves by direct numerical simulations of primitive equationsJournal of Fluid Mechanics, 2001
- Singularities in water waves and Rayleigh–Taylor instabilityProceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1991
- Some new gravity waves in water of finite depthPhysics of Fluids, 1983
- On the non-linear energy transfer in a gravity-wave spectrum. Part 3. Evaluation of the energy flux and swell-sea interaction for a Neumann spectrumJournal of Fluid Mechanics, 1963